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Simplifying 6x + -1x + -5 = -2x + -40 Reorder the terms: -5 + 6x + -1x = -2x + -40 Combine like terms: 6x + -1x = 5x -5 + 5x = -2x + -40 Reorder the terms: -5 + 5x = -40 + -2x Solving -5 + 5x = -40 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 5x + 2x = -40 + -2x + 2x Combine like terms: 5x + 2x = 7x -5 + 7x = -40 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 7x = -40 + 0 -5 + 7x = -40 Add '5' to each side of the equation. -5 + 5 + 7x = -40 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -40 + 5 7x = -40 + 5 Combine like terms: -40 + 5 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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